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Finding the Fourth Proportional to 257,416.80, 386,125.20 and 139,318.80

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Solution

The fourth proportional to 257,416.80, 386,125.20 and 139,318.80 is: 208,978.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,416.80 : 386,125.20 = 139,318.80 : x
  2. Step 2: Convert to fraction form
    257,416.80/386,125.20 = 139,318.80/x
  3. Step 3: Cross multiply
    257,416.80x = 386,125.20 × 139,318.80
  4. Step 4: Simplify right side
    257,416.80x = 53,794,499,513.76
  5. Step 5: Solve for x
    x = 53,794,499,513.76/257,416.80
  6. Step 6: Final answer
    x = 208,978.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.